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Finding the Fourth Proportional to 323,766.40, 485,455.20 and 166,302.40

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Solution

The fourth proportional to 323,766.40, 485,455.20 and 166,302.40 is: 249,353.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,766.40 : 485,455.20 = 166,302.40 : x
  2. Step 2: Convert to fraction form
    323,766.40/485,455.20 = 166,302.40/x
  3. Step 3: Cross multiply
    323,766.40x = 485,455.20 × 166,302.40
  4. Step 4: Simplify right side
    323,766.40x = 80,732,364,852.48
  5. Step 5: Solve for x
    x = 80,732,364,852.48/323,766.40
  6. Step 6: Final answer
    x = 249,353.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.